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6 pints of a 20 percent solution of alcohol in water are mixed with 4 pints of a 10 percent alcohol in water solution. The percentage alcohol in the new solution is
A. 16
B. 15
C. 14
D. 13
E. 12
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A. 16
B. 15
C. 14
D. 13
E. 12
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Percentage of alcohol in new solution
=( 6*.2 + 4 * .1) / 10
=(1.2 + .4 ) / 10
= 1.6/10
=.16
Percentage of alcohol in new solution = 16 %
Answer A
=( 6*.2 + 4 * .1) / 10
=(1.2 + .4 ) / 10
= 1.6/10
=.16
Percentage of alcohol in new solution = 16 %
Answer A
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Problem could be solved fast with logic.
If we have equal volumes of both solutions =5 pints, then percentage alcohol in new solution would be 15% which is average of two solutions = (20+10)/2
As we have more pints and high concentration in solution 1, then new solution would be higher than 15%
only one answer fit
Answer: A
If we have equal volumes of both solutions =5 pints, then percentage alcohol in new solution would be 15% which is average of two solutions = (20+10)/2
As we have more pints and high concentration in solution 1, then new solution would be higher than 15%
only one answer fit
Answer: A
New solution composition based on alcohol weight = [(6*20%) + (4*10%)] / 10 = 16% alcohol by weight in the new solution.
Divyadisha
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GMAT 1: 660 Q49 V31
Posts: 659
Total solution = 6+4= 10
Total alcohol= 20% of 6= 1.2 + 10% of 4= .4
1.2+.4= 1.6
%= 1.6/10*100= 16
'A' is the answer
Total alcohol= 20% of 6= 1.2 + 10% of 4= .4
1.2+.4= 1.6
%= 1.6/10*100= 16
'A' is the answer
Posts: 4,849
We can use the concept of weighted averages as the quantities are different.
\(P_{Avg} = \frac{P_1Q_1 \space + \space P_2Q_2}{Q_1 + Q_2}\)
Here Q1 and Q2 are the quantities and P1 and P2 are the percentages.
Substituting the given values, we get \(P_{Avg} = \frac{20*6\space + \space 4*10}{6 + 4} = \frac{120 + 40}{10} = \frac{160}{10} = 16\)%
Option A
Arun Kumar
\(P_{Avg} = \frac{P_1Q_1 \space + \space P_2Q_2}{Q_1 + Q_2}\)
Here Q1 and Q2 are the quantities and P1 and P2 are the percentages.
Substituting the given values, we get \(P_{Avg} = \frac{20*6\space + \space 4*10}{6 + 4} = \frac{120 + 40}{10} = \frac{160}{10} = 16\)%
Option A
Arun Kumar
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